This was partly expected as taller dogs weigh Revision Courses: These offer a helping hand when it matters the most to boost your grades! 28)Ford Circles how to generate Ford circles and their links with fractions. 11) Tracker software will allow you to track data from a video and then produce graphs. I got a predicted grade which is: 6/7, the final grade I also got 6/7 . For these they have created worked solutions to all recent IB Maths and IB Physics papers. Model your data using a normal distribution. 13 40 Mathematics Internal Assessment Ideas. IB Math IA Examples and Ideas IA Idea 1 - Birthday Paradox The idea tackles the paradoxical concept of how probability dictates that those in a room full of people are very likely to share a birthday. This is a puzzle that was posed over 1500 years ago by a Chinese mathematician. IA Review. Required fields are marked *. This is a lovely result which uses parametric functions to create a beautiful example of mathematical art. Download Free and Get a Copy in your Email, Mathematics MCQ questions & answers on UPSR Modules, Basic Mathematics on UPSR Module in Malay Language, Calculus - Differentiation Questions and solution keys. You can download from. 8)Log Graphs to Plot PlanetaryPatterns. << /Length 11 0 R /N 1 /Alternate /DeviceGray /Filter /FlateDecode >> Look at some of the maths (and psychology behind winning this game. Why does the house always win? If you find yourself struggling with anything from finding a topic to writing your evaluation, here are the answers to 5 of the most frequently asked questions about the econ IAs, answered by expert IB graduates. The correlation calculation only works properly for straight line relationships. IA Idea 3 Analyzing the Math of Monopoly, While the IAs are important, they are not intended to be as massive of a research project as the. Pearson's correlation coefficient when applied to a data set i s commonly symbolized by the letter r as 1) Is there a correlation between hours of sleep and exam grades?Studies have shown that a good nights sleep raises academic attainment. future development and use for other purposes/with other data. stream Most of the popula tion is arranged around the mean value, The idea tackles the paradoxical concept of how probability dictates that those in a room full of people are very likely to share a birthday. Pearson's Correlation Coefcient: r= s xy s x s y, where s x= (X iX) 2 i=1 n n, s y= (y iy) 2 i=1 n n and s . a possibility of symmetry in the data. ~gv;pg9;{eF4"_=}GiRpfg)ZS-7q-25+0Zj9Ga!Q }?Vr / =\KV^vn519= r>W3?iLLJN3==TGfbFx( {t,AcmXEHf*0|%]x#Y/5Ia'r0?v>c-orGysxuJ.OFCQeG`n)CC Q`;|':OO/Vk!&rgXC`ERY). 8) Change in a persons BMI over time There are lots of examples of BMI stats investigations online see if you can think of an interesting twist. Maths is closely connected with astronomy see how we can work out the distance to the stars. What is the average distance between 2 points in arectangle? IB Teacher support with intermathematics.com: A new website for teachers at international schools. Currently they have 19 million data points! Look at how infectious Ebola really is. (This topic is only suitable for IB HL students). Post an enquiry and get instant responses from qualified and experienced tutors. A recent study suggests that higher alcohol consumption amongst teenagers leads to greater social stress and poorer grades. Ive just launched a brand new maths site for international schools over 2000 pdf pages of resources to support IB teachers. 17) Chinese remainder theorem. Very useful. It gets so hot that people aren't going near the shop, and sales start dropping. My IA was about how efficient macaron boxes were, and I used my own data )by measuring the radii and height of 50 macarons I made). Whatever you choose, remember that you will create a new exploration of complex ideas. They are the ones responsible for your IA grades, so its always best to refer to your teacher and request any sort of rubric that you could work with! % 30) Maths of Global Warming Modeling Climate Change Using Desmos to model the change in atmospheric Carbon Dioxide. This is like having access to an experienced IB tutor who can talk you through solutions. [online] Available at: stevegallik/cellbiologyolm_statistics.html [Accessed 7 Jan. 2018]. Without further research we can't be sure why. Amongst holistic mindsets, there are numerous other factors admissions officers seek out when accepting students into their schools. We know that adult population heights are normally distributed what about student heights? Topics focus on statistics and data analysis but also include other ideas! 6) Is there a correlation between GDP and life expectancy? Can Artificial Intelligence (Chat GPT) get a 7 on an SL Mathspaper? Mean value :The mean value was calculated by taking the median number in each interval, You can find that I used the correlation formula and how I interpret my data. Here is a list of 20 exciting topics to help you get inspiration: 1. Statistics - CellBiologyOLM. Some of the content includes: A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. Statistics and modelling 2 [more simplistic topics: correlation, normal,Chi squared]. There is a perfect negative correlation between the number of study hours and the number of sleeping hours. This is also a potential opportunity to discuss the Golden Ratio in nature. I will use the BMI's of the players that I have collected to find out the percentage of props that are in-fact obese in the NRL. Correlation between a person's height and his shoe size. Alec James Hewison Standard Level Mathematical Studies IA Name: Alec Hewison Date: Standard Level Mathematical Studies IA Title: The correlation between BMI and tackles made in the NRL (National Rugby League), Alec James Hewison Standard Level Mathematical Studies IA Introduction: It is said that "BMI" (Body Mass Index) is used as an indicator of an individual's health. 13) The Tusi couple A circle rolling inside acircle. Ive written a comprehensive IB exploration guide which contains the Exploration Guide Essentials (63 pages), Statistics for Explorations (55 pages) and Modeling for Explorations (50 pages). This intuitive tool accounts for many factors, from GPA to extracurriculars, and tells you your shots of getting into your dream school! Algebra and number 10)Is Intergalactic space travelpossible? Correlation can have a value: 1 is a perfect positive correlation 0 is no correlation (the values don't seem linked at all) -1 is a perfect negative correlation The value shows how good the correlation is (not how steep the line is), and if it is positive or negative. A great introduction to some of the ideas behind non-euclidean geometry. This is a nice geometry puzzle solved using a variety of methods. The content now includes over2500 pages of pdf content for the entire SL and HL Analysis syllabus and also the SL and HL Applications syllabus. 3) Birthday paradox: Find out how! analyzed in the next paragraphs. Are there functions which plot any polygons? (LogOut/ This section looks at the quality of the maths and how relevant it is to the exploration. Surprisingly maths can help! For the dates of the 200 games, I placed slips of paper into a three boxes. Change). answer online. Theres a mixture of paid content and also free content. 2) Gravity, orbits and escape velocity Escape velocity is the speed required to break free from a bodys gravitational pull. 18) Fermats last theorem: A problem that puzzled mathematicians for centuries and one that has only recently been solved. 2) Torus solid of revolution: A torus is a donut shape which introduces some interesting topological ideas. The value shows how good the correlation is (not how steep the line is), and if it is positive or negative. If so please share with me! 7) When do 2 squares equal 2cubes? Is there a correlation between hours of sleep and exam grades? Conduct this BBC reaction time test to find out. 12) Towers of Hanoi puzzle This famous puzzle requires logic and patience. Summer Courses: When you are about to start your first or final year of the IB, the summer presents the perfect opportunity to get ahead. Chi Squared Test for Independencecompares two catagorical variables to test for independence. 5) Stacking cannon balls: An investigation into the patterns formed from stacking canon balls in different ways. This is a function which is used in Quantum mechanics it describes a peak of zero width but with area 1. You should aim to take advantage of this, because the IAs are definitely scored more leniently than the examinations and other external assessments. 12) Magic squares and cubes: Investigate magic tricks that use mathematics. A good example of how to conduct a statistical investigation in mathematics. When do we have a square number which is also a triangular number? The NHS use a chart to decide what someone should weigh depending on their height. Once a relationship is established,Linear Regressioncan be used to create a linear model, https://robinsonss-fcps.libguides.com/IBSL1IA, Calculate theChi Squared calculated value, Calculate the degrees of freedom and use this to find the Chi Squared critical value from a critical value table, Compare the Chi Squared calculated value to the critical value to find if you accept or deny your null hypothesis. They have also created a great question bank resource which has broken the IB syllabus into its different sections and then created past paper style questions on each topic. So there we have it: 50 IB Maths IA topic ideas to give you a head-start for attacking this piece of IB coursework! endobj Familiarise yourself with the steps below, and then dive into your chosen topic. I will check my table of data to find out if there are any Upper (i) BMI=1.5 x 30.422= 45.633 (ii) Tackles Made= 1.5 x 866.75 Lower (i) BMI= 28.532 x 1.5 = 42.798 (ii) Tackles Made= 705.500 x 1.5 1300.125 1058.25 outliers. Copyright 2002 - 2023 MyPrivateTutor. 10) Does eating breakfast affect your grades? another dataset of Y { ,, } containing n values they 1 yn n that formula for r is: n is the number of samples 13) Is there a correlation between height and basketball ability? During the reflective stage, connect the results with the initial aims. Choose your own pattern investigation for the exploration. which then decreases on both sides as shown on the above curve. Maybe you could develop a simple application to showcase the paradox in the form of a game. Is there a correlation between the digit ratio and maths ability? This doesnt mean that youre confined to only looking into topics that are covered on your syllabus, but it should be of the same rigour! New Curriculum 2021-2027. 3) Projectile motion: Studying the motion of projectiles like cannon balls is an essential part of the mathematics of war. Modeling IAs can generally refer to any project where a certain change in statistics is being presented in a visual manner. 1) The harmonic series: Investigate the relationship between fractions and music, or investigate whether this series converges. 4) Why e is base of natural logarithm function: A chance to investigate the amazing number e. 5) Fourier Transforms the most important tool in mathematics? Investigate the surprising correlation between finger ratios and all . 4 0 obj 36)Predicting the UK election using linearregression. 6 0 obj statistics.laerd/statistical-guides/pearson-correlation-coefficient-statistical-guide. Change), You are commenting using your Facebook account. When dealing with a normal distrubution it is possible to cal culate the mean and the standard 5)Project Euler: Coding to Solve MathsProblems. Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). 36) Can we prove that 1 + 2 + 3 + 4 . Is there a correlation between height and weight? asking your friends, teachers, etc. Share. 1b) The shape of the universe non-Euclidean Geometry is at the heart of Einsteins theories on General Relativity and essential to understanding the shape and behavior of the universe. 15) Birthday paradox: The birthday paradox shows how intuitive ideas on probability can often be wrong. It needs to be independent and unique. 41) Chaos and strange Attractors: Henonsmap. 11) The Monty Hall problem this video will show why statistics often lead you to unintuitive results. My name is Eden and this is so good resource. 40)Modelling the spread of Coronavirus(COVID-19). Here are some examples solved using Python. This particular problem was solved by Euler. There are also high quality predicted past paper exams with full worked solutions including video solutions. 8)The Remarkable Dirac DeltaFunction. It help so much when i see math topic for studie and i use experiment to expand ideas among mathmatical world for further education. Alec James Hewison Standard Level Mathematical Studies IA It turns out that there aren't any outliers in the data; however, this could be because there was such a strong correlation, as the data didn't vary majorly in terms of a larger BMI meaning more tackles made. Usually the biggest one of these is a research-based essay, often called an investigation at most schools, that will allow students to take concepts learned in their 6 classes, and write a university-level paper to showcase their extents to learn above the required amount. The beginning of an intelligencerevolution? You can calculate it in one pass through the data. 34) The Tusi circle how to create a circle rolling inside another circle using parametric equations. Maths can be used to both make these codes and break them. 11) Does eating breakfast affect your grades? Ive written a comprehensive IB exploration guide which contains the Exploration Guide Essentials (63 pages), Statistics for Explorations (55 pages) and Modeling for Explorations (50 pages). 14) Bayes theorem: How understanding probability is essential to our legal system. 3) Do bilingual students have a greater memory recall than non-bilingual students? 12) Is there a correlation between blood alcohol laws and traffic accidents? You can think of the IA as a written mathematical presentation that will impact your final grade. In fact the correlation is 0.9575 see at the end how I calculated it. Create media and forms of presentations that are enjoyable and fun! Scroll down this page to find over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. The next correlation that is investigated is by using the data of the maximum height and average It is a great place to show your personal engagement with the topic youve chosen for your IA. Explore number theory in higher dimensions! 40) Stellar Numbers This is an excellent example of a pattern sequence investigation. I will group my data in table. Stacking cannonballs solving maths withcode, Project Euler: Coding to Solve MathsProblems, Hollow Cubes and Hypercubesinvestigation, Methods for solving differential equations, I am copying what the bottom two people said. Correlationis the relationship between two variables. 32)Circular Motion: Modelling a Ferriswheel. 9) Coding Hailstone Numbers. Is there a correlation between height and weight? /TT2 9 0 R >> >> (LogOut/ Use the Olympic database to find out if the 1500m times have got faster in the same way the 100m times have got quicker over the past few decades. 3) Is there a correlation between arm span and foot height? It seems that you have a problem with applying Spearman's Rank and Pearson's. If the lack of raw data disturbs you, you can always obtain data in other means - i.e. 50) Square triangular numbers. 4) Which times tables do students find most difficult? Modeling is in itself an easy task but trying to make the information digestible and interesting is the hard part. 14) Egyptian fractions: Egyptian fractions can only have a numerator of 1 which leads to some interesting patterns. While solving the paradox would be nothing new, perhaps taking the information and applying it into other mathematical concepts, or testing the data with a sample population of people would be an interesting direction to take. Look out for these during the Winter and Easter breaks before the final exam. Are the IB maths test scores normally distributed? If you are an IB teacher this could save you 200+ hours of preparation time. 31) Grahams Number a number so big that thinking about it could literally collapse your brain into a black hole. As with all assessments, you also need to include a solid conclusion that summarises the research and work youve done. This list is primarily for IB Maths Applications SL students (exam in 2021 onwards). (EE), the most important piece of research work youll be doing as an IB student. Is there a correlation between hours of sleep and exam grades? Find out! We also have similar ideas for Biology, Chemistry, Economics, History, Physics, TOK. 13) Does teenage drinking affect grades? Run the Gapminder graph to show the changing relationship between GDP and life expectancy over the past few decades. Hi would investigating the formula 1 racing strategy using game theory and monte carlo simulation be a good enough topic for hl? Investigate this problem through the world of sequence and series. If you are a teacher then please also visit my new site: intermathematics.com. (pdf). 45) The Mordell Equation. If you are doing IB Maths Analysis (exam in 2021 onwards) then go to this page instead. illustrates the results. 16) Eulers identity: An equation that has been voted the most beautiful equation of all time, Eulers identity links together 5 of the most important numbers in mathematics. The first step is to put your data into a huge table on Excel/Sheets and carry out the key calculations there (such as x 2, xy, y 2 .) Here is a geometric proof. A nice starting point for students good at coding who want to put these skills to the test mathematically. Finally, zoom out and think about the further implications of your study. total number: 25+26+24++35+19 50 20 cm. 9) Is there a correlation between sacking a football manager and improved results? Did your learning affect your life in any way, or how might it affect the lives of others?

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